Kells, G. and Kailasvuori, J. and Slingerland, Joost and Vala, Jiri (2011) Kaleidoscope of topological phases with multiple Majorana species. New Journal of Physics (NJP), 13. 095014. ISSN 1367-2630

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Abstract

Exactly solvable lattice models for spins and non-interacting fermions provide fascinating examples of topological phases, some of them exhibiting the localized Majorana fermions that feature in proposals for topological quantum computing. The Chern invariant ν is an important characterization of such phases. Here we look at the square–octagon variant of Kitaev’s honeycomb model. It maps to spinful paired fermions and enjoys a rich phase diagram featuring distinct Abelian and non-Abelian phases with ν = 0 , ± 1 , ± 2 , ± 3 and ± 4. The ν = ± 1 and ν = ± 3 phases all support localized Majorana modes and are examples of Ising and SU ( 2 ) 2 anyon theories, respectively

Item Type:	Article
Keywords:	Kaleidoscope; topological phases; multiple Majorana species;
Academic Unit:	Faculty of Science and Engineering > Mathematical Physics
Item ID:	4798
Depositing User:	Dr. Joost Slingerland
Date Deposited:	05 Mar 2014 17:16
Journal or Publication Title:	New Journal of Physics (NJP)
Publisher:	Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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